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Disjunctive Kriging as an Approach to Management Decision Making

U.S. Salinity Lab., Univ. of California, Riverside, CA 92521

Marylynn V. Yates

Cooperative Extension, Univ. of California, Riverside, CA 92521

*Corresponding author.

ABSTRACT

Disjunctive kriging is a nonlinear estimation technique that allows the conditional probability that the value of a spatially variable management parameter is greater than a cutoff level to be calculated. The method can be used in management decision making to help determine when some reclamation action is necessary. Two input parameters are required to use the technique: a cutoff level and the critical probability level. The use of disjunctive kriging as a decision making tool is illustrated using the regulation of septic tank setback distance as a means for minimizing the contamination of groundwater by viruses. Two examples are described: given a setback distance, the spatial distribution of the conditional probability that the virus concentration will be greater than acceptable levels is calculated; and given a critical probability level, calculating the spatial distribution of setback distances which satisfy that probability level. The study showed that, to be 90% confident that virus concentrations would be within acceptable limits, in many areas the setback distance would have to be severalfold higher than prescribed by current regulations.

Contribution of the U.S. Salinity Lab., 4500 Glenwood Dr., Riverside, CA 92501 and the Dep. of Soils and Environmental Sciences, Univ. of California, Riverside, CA 92521.

Received for publication February 9, 1988.

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